PLEASE PLEASE HELP ME ! Jerry wants to buy his grandpa's old car for $500.00. He works 10 hours a week
at $7.50 an hour. How many weeks will he need to work before he earns enough
money to buy the car? Write and equation

There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

Read more about the substitution method:

https://brainly.com/question/22340165

#SPJ4

The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: \(y-y_1=m(x-x_1)\)

2. (Plugging in values)

Therefore, one equation of the line is y - 7 = 6(x - 2).

The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

Learn more about Thales theorem here:

https://brainly.com/question/14417137

#SPJ1

The number that he must bowl in his third game to have an average of at least 200 is 236.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the third game be illustrated as x.

Since Ben bowled 152 and 212 in his first two games, the average will be illustrated thus:

(152 + 212 + x) / 3 ≥ 200

152 + 212 + x ≥ (200 × 3)

152 + 212 + x ≥ 600

364 + x + x ≥ 600

x ≥ 600 - 364

x ≥ 236

In conclusion, Ben must bowl at least 236.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

Answer:

\(\huge\boxed{E.\ 5^{4+x}}\)

Step-by-step explanation:

Use:

\(a^n\cdot a^m=a^{n+m}\)

\(5^4\cdot5^x=5^{4+x}\)

Answer:

The correct answer is C hope this helps :)

Step-by-step explanation:

The slope represents the rate of change or the average increase in the mortgage amount associated with a one-unit increase in household income.

The slope of a regression line represents the rate of change or the average increase/decrease in the response variable (Y) for every one-unit increase in the predictor variable (X).

Here, the slope of the regression line in the given equation is 4.2.

The interpretation of the slope in this context is that for every one unit increase in the household income (X), the predicted mortgage amount (Y) is expected to increase by 4.2 units.

In other words, the slope represents the rate of change or the average increase in the mortgage amount associated with a one-unit increase in household income.

Learn more about Slope of Regression here:

https://brainly.com/question/29753986

#SPJ6

Answer:

1/4 of the cake.

Step-by-step explanation:

Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.

\(\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}\)

Therefore, he ate 1/4 of the entire cake.

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

To know more about algebra, visit

brainly.com/question/24875240

#SPJ1

The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

Answer:

3 years old and 8 years old

Step-by-step explanation:

8-3=5

3x8=24

plz mark me as brainliest

Answer:

10/85=8/x 10x=680 x=680/10 x=68

Step-by-step explanation:

hehe boris

Answer: Brainly got this! 87 million

Step-by-step explanation:

Answer:

b+2(b+2b) = 7b so this is incorrect.

3b + b = 4b (correct)

2 * 2b = 4b (correct)

The answer is 3b + b and 2 (2b)

Answer:god duh

Step-by-step explanation:

Answer:

x^2 +6x -15

Step-by-step explanation:

(3x^2 +2x -8) - (2x^2 -4x+7)

Distribute the minus sign

(3x^2 +2x -8) - 2x^2 +4x-7

Combine like terms

x^2 +6x -15

Answer:

x²+6x-15

Step-by-step explanation:

We are given this expression:

\((3x^2+2x-8) - ( 2x^2-4x+7)\)

We want to simplify the expression. First, distribute the negative sign in front of the second set of parentheses. Multiply each term inside the parentheses by -1.

\((3x^2+2x-8) + (-1*2x^2) + (-1*-4x) + (-1*7)\)

\((3x^2+2x-8) -2x^2+ 4x -7\)

Next, combine like terms. The 2 terms with an x² can be combined, just like the two terms with an x, and the two terms without a variable.

\((3x^2-2x^2) + (2x+4x) + (-8-7)\)

\(x^2+(2x+4x)+(-8-7)\)

\(x^2+6x+(-8-7)\)

\(x^2+6x-15\)

The expression x²+6x-15 is equivalent to (3x²+2x-8)-(2x²-4x+7)

Look : angle 1 + angle 3 = 180°

because it is a straight line.

Thus ;

\(5x + 35 + 4x + 10 = 180\)

Simplification

\(9x + 45 = 180\)

Subtract sides 45

\(9 x = 180 - 45\)

\(9x = 135\)

Divided sides 9

\( \frac{9}{9}x = \frac{135}{9} \\ \)

\(x = 15\)

So x = 15°

_________________________________

angle 1 = 5x + 35°

angle 1 = 5 ( 15 ) + 35°

angle 1 = 75° + 35°

angle 1 = 110°

_________________________________

angle 1 + angle 2 = 180°

110° + angle 2 = 180°

Subtract sides 110°

angle 2 = 180° - 110°

angle 2 = 70°

_________________________________

And we're done...♥️♥️♥️♥️♥️

Both teams have the same final score of 9, and the match is a tie.

Multiplication is a mathematical operation that involves combining two or more numbers to get a product. It is represented by the symbol "×" or "*", and is used to simplify repeated addition.

To calculate the final scores of the two teams, we need to take into account the runs scored, the wickets lost, and the number of wide balls bowled.

For the Knight Riders team, the runs scored are 49, and they lost 3 wickets. The number of wide balls bowled is 14, which means they lose 2 points for each wide ball, resulting in a deduction of 28 points.

For the Sunrises team, the runs scored are 37, and they lost 5 wickets. The number of wide balls bowled is 4, which means they lose 2 points for each wide ball, resulting in a deduction of 8 points.

To calculate the final scores, we can use the following formula:

Final score = Runs scored - (Wickets lost x 4) - (Wide balls bowled x 2)

For the Knight Riders team, the final score is:

Final score = 49 - (3 x 4) - (14 x 2) = 49 - 12 - 28 = 9

For the Sunrises team, the final score is:

Final score = 37 - (5 x 4) - (4 x 2) = 37 - 20 - 8 = 9

Therefore, both teams have the same final score of 9, and the match is a tie.

To know more about multiplication visit :

https://brainly.com/question/1135170

#SPJ1

Answer:

5/365 years, or 0.014 years

Step-by-step explanation:

Just like any conversion of units, we just set up the starting amount and multiply it by the correct ratio:

    5 days (1 year/ 365 days) = 5/365 years = 0.014 years

You just need to make sure you choose the right ratio. In this case, I know that 1 year is 365 days, and I'm trying to cancel the days unit, therefore I put the year in the numerator and the days in the denominator.

I hope this helps :D

Answer:

0.01

Step-by-step explanation: 5 ÷ 365 ( days of year)  and it gives you 0.013 then round to nearest  hundredth and since 3 is less than 5 it becomes a 0

Let be "x" and "y" the two positive numbers mentioned in the exercise.

You need to remember the following definitions:

- A Difference is the result of a Subtraction.

- A Product is the result of a Multiplication.

In this case, you know that their Difference is 12 and their Product is 693. So you can set up this System of Equations:

You can solve the System of Equation using the Substitution Method:

1. You can solve for the variable "x" from the first equation:

2. Substitute this new equation into the second original equation and simplify:

3. Now you have to solve for "y", in order to find its value:

- Rewrite the equation in this form:

Since it is the variable "y":

Then:

4. Use the Quadratic Formula to find the values of "y". The formula would be:

In this case:

Then, substituting values and evaluating, you get:

5. Since the numbers mentioned in the exercise are both positive, you must choose only the positive values. Therefore:

6. To find the value of "x", you have to substitute the value of "y" into the equation

Then:

7. Finally, you have to solve the Addition:

The answer is:

If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

To know more about estimate,

https://brainly.com/question/17961193

#SPJ4

The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.  Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

The total weight of the whole tenderloin is given to be 2.5 kg.The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.

To calculate the total edible tenderloin in pounds, we need to convert the weight of whole tenderloin from kg to pounds.

1 kilogram (kg) = 2.20462 pounds (lbs)

Therefore,2.5 kg = 2.5 x 2.20462 = 5.51155 lbs We are given that 1.65 pounds of fat, sinew, and trimming need to be taken out from the whole tenderloin.

So, the total edible tenderloin in pounds = 5.51155 - 1.65= 3.86155 pounds

Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

Learn more about weight here:

https://brainly.com/question/28355526

#SPJ11

The main difference is algebraic expression contain fractional exponents whereas polynomial contain only whole number exponent.

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics. Algebraic operations are adding, subtracting, multiplying, dividing . Additionally, fractional or negative integral exponents are permitted in algebraic expressions.

e.g.: 5, 2x + 3, y√x etc.

A polynomial is an expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics. Algebraic operations are adding, subtracting, multiplying, dividing. Additionally, only whole number exponents are permitted in polynomial.

e.g.: 3, 2x ,3x² etc.

To know more about algebraic expression and polynomial visit the given link: https://brainly.com/question/27446620

#SPJ4

One of the primary factors determining your card's A.P.R. is your credit score is "True". The correct answer is B.

Credit card issuers evaluate applicants' creditworthiness based on their credit scores, among other factors, and use this information to determine the interest rate they will be charged. Higher credit scores generally result in lower A.P.R.s, reflecting a lower risk profile.

However, it is important to note that the specific A.P.R. offered to an individual may also depend on other factors, such as the card's terms and conditions, the applicant's income, and the card issuer's policies. It is incorrect to assume that most cardholders pay the lowest rate listed when given a range of A.P.R.s, as individual circumstances and creditworthiness vary.

Additionally, higher A.P.R.s do not benefit cardholders, as they result in increased interest charges. The notion that A.P.R.s on credit cards are usually fixed and not adjusted is also incorrect, as A.P.R.s can be variable and subject to change based on various factors.

Therefore, the correct answer is B) One of the primary factors determining your card's A.P.R. is your credit score.

To learn more about credit score from the given link

https://brainly.com/question/31552547

#SPJ4

Note: The question would be as

Reading through a credit card disclosure (aka the Schumer Box), you see the A.P.R. for a specific card is set at 9.99% -23.99%. Which of the following statements is probably TRUE?

a. When given a range of A.PR.s like this, you can assume most cardholders pay the lowest rate listed

b. One of the primary factors determining your card's A.P.R. is your credit score

c. With credit card A.PR.s, cardholders like higher A.P.R.s because they earn more

d. The A.PR. on credit cards is usually fixed so they won't be adjusted as long as you are a cardholder

Answer:

it should be 11/20

Step-by-step explanation:

hope it's helpful to you ;)

Answer:

11/20

Step-by-step explanation:

Make them all have a common denominator and then add and subtract

if this helps please give brainliest

Answer: 102600

Step-by-step explanation:

6361.20  = 0.062 x

x = 6361.20/0.062

x = 102600

(when you divide a number with a decimal you get a larger number because you are, in fact, dividing by less than 1.)

(Immagine you divide 10 cookies with 1 friend you both get 5 cookies, but if you divide with less than 1 friend [let's pretend that it's possible] you will have to give less because now there are essentially fewer people).

Hope this helps =)

Answer:

520.5

Step-by-step explanation:

if the number is five or greater then you add a number to the one infront of it

Answer:

520.5

Step-by-step explanation:

to the nearest 10th 0.4 is the 10ths place

Given

Equation

x tea chart __, 0, 2, __

y tea chart 0,__, __, 3

Procedure

y = 0

12x = 16

x = 16/12

x = 4/3

x = 0

-8y = 16

y = 16/-8

y = -2

x = 2

12(2) - 8y = 16

24 - 8y = 16

-8y = 16-24

-8y = -8

y = 1

y = 3

12x - 8(3) = 16

12x - 24 = 16

12x = 16+24

12x = 40

x = 40/12

x = 20/6

x tea chart 4/3, 0, 2, 20/6

y tea chart 0, -2, 1, 3